Quasirandom and quasisimple groups

2024/04/08 by Barbieri, Marco, Sabatini, Luca · 1 citation
#20C99 #FOS: Mathematics #Group Theory (math.GR) #Primary: 20D99 #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2404.05550

Abstract

Fix ε > 0. We say that a finite group G is ε-quasirandom if every nontrivial irreducible complex representation of G has degree at least |G|^ε. In this paper, we give a structure theorem for large ε-quasirandom groups, and we completely classify the (1)/(5)-quasirandom groups.

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